Question

As an example, a 4.00-kgkg aluminum ball has an apparent mass of 2.40 kgkg when submerged in a particular liquid: calculate the density of the liquid.

Answer 1

Answer:

1081.08108 kg/m³

Explanation:

Volume is given by

$V=\dfrac{m}{\rho}\\\Rightarrow V=\dfrac{4}{2700}\\\Rightarrow V=0.00148\ m^3$

The volume of the liquid displaced is 0.00148 m³

Mass of displaced liquid

$4-2.4=1.6\ kg$

Density is given by

$\rho=\dfrac{m}{V}\\\Rightarrow \rho=\dfrac{1.6}{0.00148}\\\Rightarrow \rho=1081.08108\ kg/m^3$

The density of the liquid is 1081.08108 kg/m³